Open baffle radiation (FEM method)

Status
This old topic is closed. If you want to reopen this topic, contact a moderator using the "Report Post" button.
I used COMSOL to simulated a 6.5 inch mid-woofer in a circular (D 280mm) baffle, atteched is the interest frequency.
In this contour,we can see how the open baffle system transfer from a typical dipole to abnormity.
Due to the cone shape and the back magnet and the speaker hole, it present asymmetry above 1kHz, again, the near field more like a butterfly around 2kHz, but the far field still natural. The worse case is 2215Hz, it's far field present butterfly.
Above 2.5kHz is not so precision due to the breakup in the cone. but we can expect is present wide dispersion mode.
 

Attachments

  • contour.GIF
    contour.GIF
    112.5 KB · Views: 487
Due to the cone shape and the back magnet and the speaker hole, it present asymmetry above 1kHz, again ...

Really helpful indeed.
To the most part this is quite in line with the simpler dipole models, except for the null "plane" tilted forward by the asymmtric built of a dynamic driver. Nice to see that in your simulation.

AFAIK you haven't yet accounted for the effect, that would really mess up the backward radiation above 1 kHz: the Helmholtz resonator formed by the cavity between cone, spider and basket (openings). I wonder if you see any chance to simulate that in COMSOL. That would be a real breakthrough for our understanding ...

Rudolf
 
A very instructive simulation.

I had my own FR open baffle system running
with a rear cover of felt sometimes.
(ca. 10mm thick, soft and rather permeable)

In some way in sounded more "tight" and conroled
that way, although i did not make any polar plots.

The frequency response on the rear side had a more
smooth rolloff using the felt. Without the felt,
the rear side dropped also above 2Khz due to basket
and magnet in the way but additionally it was peaking.

I also thought, the difference (rear felt cover or not)
was due to dispersion beeing more cardioid shaped
in the midrange.

When i look at your presentation, it might be that a
resistive rear cover of appropriate permability is able
to restore the desired dipole behaviour up to some
frequency ???
(By reducing "forward tilt" of the null plane ???)

@ Rudolf: A rear resistive cover would also
reduce midrange Helmholtz resonance problems you
mentioned, for those drivers prone to that.

What also can be seen: Every traditional cone
loudspeaker is a Distributed Mode Loudspeaker
... at least above some frequency ...


Kind Regards
 
Last edited:
I still working on it, above simulation is base on 2D axial symmetry model, if we consider basket/spider, or rectangle baffle, we must use true 3D model, it will be more complex.
also, if we consider the cone behavior, we must use multi-physics. The simulated case maybe as below:
circle disc in box
circle disc in baffle
cone in box and baffle
add magnet
and round edge
tile baffle
3D model.......
 
I still working on it, above simulation is base on 2D axial symmetry model, if we consider basket/spider, or rectangle baffle, we must use true 3D model, ...
The geometry of what I consider would be perfectly axial symmetric. I just don't know if a Helmholtz resonator would "work" in 2D.
also, if we consider the cone behavior, we must use multi-physics.
Is "cone behaviour" just cone movement or are you talking about cone breakup etc.? The latter would not be of much interest in this case. Cone and spider could be seen as a rigid unit moving forth and back in the basket.

BTW: The limiting geometric factor in your model would not be the magnet, but the spider. The spider is - in many cases - of the same diameter as the magnet, but would have less distance to the baffle.

Rudolf
 
For my second simulations, we can see that and I need add some notes:
1.When flat piston on infinity baffle, after 3.2k it will occur side lobe, at this time the ka=3.8, is very close to Beranek results.
2. With V-cone in infinity baffle, the directivity is more improved, in 3500Hz figure, every color step is about 2.52dB.
3.For the V-cone in cylinder, every color step is about 2.427dB (in 1600Hz), and 2.8dB (in 3500Hz),
the direction contour is like a pear until 3500Hz, no evident side lobe. Due to the diffraction at cylinder edge, the direction is bad than the infinity baffle case.
4.When the V-cone mounted on circular open baffle, and consider the magnet, in the first figure 1412Hz, we can see some asymmetry behavior, it due to the back magnet (see the no magnet result below).
And, the magnet bring the butterfly phenomena forward than the no magnet case, see 2084Hz, and 2176Hz( 1.35 dB per color step). The worst case is 2272Hz ( 2.4 dB per color step) in magnet case, we can see a on-axis deep but still acceptability in no magnet case.

Above case show the importance of the magnet, we must used appropriate materials to avoid the reflection.

As some John K's articles, we can see the wider baffle will make the directivity worst, blow is the diameter 480mm circular open baffle.
The 45deg off-axis response is stronger 6.6dB than on-axis response at 1260Hz.

BTW, Rudolf, it's difficult to define the acoustics property of the spider, so I do not simulate it now.
 

Attachments

  • 4.GIF
    4.GIF
    31 KB · Views: 229
Thanks again sspeaker,
for the improved and diversified simulations. Beginning by the last one - 480 mm circular open baffle - I see that the influence of the magnet (and the V-cone) can almost be ignored, when the cone and magnet diameters are much smaller than the baffle. Your sim is very much in line with my result for a pistonic piston without a magnet IMHO:

attachment.php


If the size of cone and piston are comparable to the baffle, I see much influence that does not get considered by conventional simulations. You already pointed to that.

I don't know how much time and effort I would rob from you - but would it be possible to show, what difference a magnet of larger/smaller diameter or more/less depth would make?

I would predict that making the magnet deeper has much less influence on the forward radiation pattern than changing the diameter of the magnet.

Rudolf

BTW: I understand that a meaningful simulation of the spider would be beyond the scope of this thread. For the time being I just would consider the spider as acoustically rigid - sort of 'front plate' of the magnet.
 

Attachments

  • sspeaker_1.gif
    sspeaker_1.gif
    7.8 KB · Views: 253
I also do some detail measurement recently, below is a 6.5inch pp driver mounted (front flush) in 350mm square baffle. below is the result (5-90deg normalized to 0deg).
attachment.php


but if we used a back flush mounted methods (of cause we need a flare end before the cone), the result seems better.
attachment.php
 

Attachments

  • 6inch 35cm back flush.GIF
    6inch 35cm back flush.GIF
    40.8 KB · Views: 191
I also do some detail measurement recently, below is a 6.5inch pp driver mounted (front flush) in 350mm square baffle. below is the result (5-90deg normalized to 0deg).
attachment.php


but if we used a back flush mounted methods (of cause we need a flare end before the cone), the result seems better.
attachment.php
 
and a 8 inch in 330mm square baffle (all above also 330mm, not 350mm), the gray is flat baffle (front flush), and the color one is same baffle but with a side brace (like the Linkwitz's Orion).
I think for this width baffle we cannot use a cross point that excess 1200Hz.
 

Attachments

  • 8IN 350 baffle with side.GIF
    8IN 350 baffle with side.GIF
    47.3 KB · Views: 31
  • 8IN 350 baffle.GIF
    8IN 350 baffle.GIF
    38.9 KB · Views: 34
Last edited:
Status
This old topic is closed. If you want to reopen this topic, contact a moderator using the "Report Post" button.